Question

study these equations:
$f(x)=2x-4$
$g(x)=3x+1$
what is $h(x)=f(x)g(x)$?
$h(x)=6x^2-10x-4$
$h(x)=6x^2-12x-4$
$h(x)=6x^2+2x-4$
$h(x)=6x^2+14x+4$

Explanation:

Step1: Multiply the two functions

$h(x) = (2x - 4)(3x + 1)$

Step2: Apply distributive property (FOIL)

$h(x) = 2x\cdot3x + 2x\cdot1 - 4\cdot3x - 4\cdot1$

Step3: Calculate each term

$h(x) = 6x^2 + 2x - 12x - 4$

Step4: Combine like terms

$h(x) = 6x^2 - 10x - 4$

Answer:

$h(x) = 6x^2 - 10x - 4$ (the first option)